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Ratling [72]
3 years ago
12

what information do you need to create a cylinder, a sphere, and a pyramid that all have the same volume?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
8 0

Answer:

h=4/3 r Base area  =27(pi)/16 h^2

Step-by-step explanation:

The Volume of the following solids are

Cylinder: (pi)r^2 h

Sphere:4/3 (pi) r^3

Pyramid: 1/3(base area) h

Assuming that the Volume is the same in all three solids

(pi)r^2 h= 4/3 (pi) r^3

Simplify

h=4/3 r

(pi) r^2 h= 1/3(Base area)h

Simplify

(pi) r^2= 1/3 base area

substitute r=3/4 h

(pi) 9/16 h^2=1/3 base area

Base area  =27(pi)/16 h^2

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Mary ran 2 miles in 23 minutes. If she
MA_775_DIABLO [31]

we have:

  • 2 miles ---------- 23 minutes
  • 15 miles ‐---------- x minutes

So:

\frac{2}{23}  =  \frac{15}{x}

=  > x =  \frac{15 \times 23}{2}  =  \frac{345}{2} = 172.5 \: mins

=  > x =  \frac{172.5}{60}  =   \frac{23}{8}  = 2.875 \: hours

Answer: 2.875 hours

Ok done. Thank to me :>

4 0
2 years ago
1Evaluate the expression for the given quantity. 3 3/2x - 51/3x, x = 2/5
ohaa [14]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
Write a real-world problem to go with this equation: 43 x 7 = 301
KengaRu [80]

Answer:

The professor wanted to order his class of 43 new handbooks. Each handbook was $7. What will be the total amount he will be spending on handbooks?

3 0
3 years ago
Read 2 more answers
How do you solve this?
Jet001 [13]

Answer:

There are  8 boys in the chorus and 16 girls in the chorus

The graph in the attached figure

Step-by-step explanation:

Let

x----> the number of boys

y----> the number of girls

we know that

y=2x -----> equation A

x=y-8 ----> equation B

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (8,16)

see the attached figure

therefore

There are  8 boys in the chorus

There are  16 girls in the chorus

6 0
4 years ago
ASAP
Phoenix [80]
81 is a counter example of the conditional statement given.

81 has factors other than itself, 1 and the square root of 81 which is 9.

81 has factors of 3 and 27 which are not listed.
8 0
4 years ago
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